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URI: | http://dyuthi.cusat.ac.in/purl/1678 |
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Dyuthi-T0053.pdf | (2.210Mb) |
Abstract: | The study deals with the distribution theory and applications of concomitants from the Morgenstern family of bivariate distributions.The Morgenstern system of distributions include all cumulative distributions of the form FX,Y(X,Y)=FX(X) FY(Y)[1+α(1-FX(X))(1-FY(Y))], -1≤α≤1.The system provides a very general expression of a bivariate distributions from which members can be derived by substituting expressions of any desired set of marginal distributions.It is a brief description of the basic distribution theory and a quick review of the existing literature.The Morgenstern family considered in the present study provides a very general expression of a bivariate distribution from which several members can be derived by substituting expressions of any desired set of marginal distributions.Order statistics play a very important role in statistical theory and practice and accordingly a remarkably large body of literature has been devoted to its study.It helps to develop special methods of statistical inference,which are valid with respect to a broad class of distributions.The present study deals with the general distribution theory of Mk, [r: m] and Mk, [r: m] from the Morgenstern family of distributions and discuss some applications in inference, estimation of the parameter of the marginal variable Y in the Morgestern type uniform distributions. |
URI: | http://dyuthi.cusat.ac.in/purl/68 |
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Dyuthi-T0043.pdf | (1.499Mb) |
URI: | http://dyuthi.cusat.ac.in/purl/1679 |
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Dyuthi-T0153.pdf | (4.461Mb) |
URI: | http://dyuthi.cusat.ac.in/purl/1676 |
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Dyuthi-T0152.pdf | (4.552Mb) |
Abstract: | This study is about the stability of random sums and extremes.The difficulty in finding exact sampling distributions resulted in considerable problems of computing probabilities concerning the sums that involve a large number of terms.Functions of sample observations that are natural interest other than the sum,are the extremes,that is , the minimum and the maximum of the observations.Extreme value distributions also arise in problems like the study of size effect on material strengths,the reliability of parallel and series systems made up of large number of components,record values and assessing the levels of air pollution.It may be noticed that the theories of sums and extremes are mutually connected.For instance,in the search for asymptotic normality of sums ,it is assumed that at least the variance of the population is finite.In such cases the contributions of the extremes to the sum of independent and identically distributed(i.i.d) r.vs is negligible. |
URI: | http://dyuthi.cusat.ac.in/purl/776 |
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Dyuthi-T0089.pdf | (3.775Mb) |
URI: | http://dyuthi.cusat.ac.in/purl/1171 |
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Unnikrishnan Nair N 1985.PDF | (555.7Kb) |
Abstract: | A detailed study of the hydrography of the Cochin Backwaters, the habitat off crassostrea madrasensis has been carried out. Data pertaining to air temperature, water temperature, salinity, dissolved oxygen, turbidity and rainfall have been collected and presented. The temperature fluctuation was in the range of 5°C only and that of salinity between 1.1%o and 32.9%o. Fairly steady salinity has been recorded during the pre-monsoon period (February to May) and drastic declension during the monsoon period (June-September).Dissolved oxygen varied between 2.5 ml/l and 6.5 ml/l. Turbidity was highest in June (27.9 p.p.m.) and minimum (10.2 p.p.m.) in February. A detailed study on marine biofouling in the Cochin Backwaters has been made with special reference to primary film, settlement and growth of the fouling organisms such as hydroids, bryozoans, tube-dwelling polychaetes, barnacles and modiolus |
Description: | Central Institute of Fisheries Technology, |
URI: | http://dyuthi.cusat.ac.in/purl/3237 |
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Dyuthi-T1211.pdf | (5.618Mb) |
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